activity
20162026
most citedParticle on the sphere: group-theoretic quantization in the presence of a magnetic monopole

12 citations · 20 across the 11 of their papers we have counts for

collaborators

11 papers

gr-qc2026

Guiding center quantization of a quantum Hall analog of Hawking radiation

Rodrigo Andrade e Silva, Ted Jacobson

We revisit the quantum Hall analog of Hawking radiation in which a Fermi sea of electrons occupying half of a plane, subjected to a quadrupolar electric potential, gives rise to an…

quant-ph2026

Quantizing the guiding center: do quantization and coarse graining commute?

Rodrigo Andrade e Silva, Ted Jacobson

We develop a nonperturbative, group-theoretic quantization of the effective guiding center theory of a charged particle drifting in a magnetic field in two spatial dimensions, and…

hep-th2026

An algebra of proper observables at null infinity: Dirac brackets, Memory and Goldstone probes

Rodrigo Andrade e Silva, Simone Speziale

We develop a rigorous evaluation of Dirac brackets for classical observables on the phase space of radiative gravitational modes at null infinity that naturally incorporates memory…

quant-ph2024

Perfect quantum reflection from a cliff: a potential unbounded from below

Rodrigo Andrade e Silva

We explain how a potential that is well-defined everywhere on the positive half-line, but is nowhere positive and diverges to as , can nevertheless conf…

hep-th2023

Quantization of causal diamonds in (2+1)-dimensional gravity -- Part II: Group-theoretic quantization

Rodrigo Andrade e Silva

We develop the non-perturbative reduced phase space quantization of causal diamonds in (2+1)-dimensional gravity with a nonpositive cosmological constant. In Part I we described th…

hep-th2023

Quantization of causal diamonds in (2+1)-dimensional gravity -- Part I: Classical reduction

Rodrigo Andrade e Silva

We develop the non-perturbative reduced phase space quantization of causal diamonds in (2+1)-dimensional gravity with a nonpositive cosmological constant. In this Part I we focus o…

gr-qc2022

General theory of swimming in curved spacetimes

Rodrigo Andrade e Silva

Swimming in curved spacetimes is a phenomenon whereby free bodies in curved spacetimes are able to propel themselves by performing cyclic internal motions. When originally proposed…

hep-th2022

Causal diamonds in 2+1 dimensional quantum gravity

Rodrigo Andrade e Silva, Ted Jacobson

We develop the reduced phase space quantization of causal diamonds in pure 2+1 dimensional gravity with a non-positive cosmological constant. The system is defined as the domain of…

quant-ph2020★ 12 cited

Particle on the sphere: group-theoretic quantization in the presence of a magnetic monopole

Rodrigo Andrade e Silva, Ted Jacobson

The problem of quantizing a particle on a 2-sphere has been treated by numerous approaches, including Isham's global method based on unitary representations of a symplectic symmetr…

physics.class-ph2018

Relativistic spring-mass system

Rodrigo Andrade e Silva, Andre G. S. Landulfo, George E. A. Matsas +1

The harmonic oscillator plays a central role in physics describing the dynamics of a wide range of systems close to stable equilibrium points. The nonrelativistic one-dimensional s…

gr-qc2016★ 8 cited

Rescuing the concept of swimming in curved spacetime

Rodrigo Andrade e Silva, George E. A. Matsas, Daniel A. T. Vanzella

It has been argued that an extended, quasi-rigid body evolving freely in curved spacetime can deviate from its natural trajectory by simply performing cyclic deformations. More int…